Question

Write a point-slope equation for the line that passes through the point (1, 6) and is parallel to the line given by y = 5x + 25. Do not use parenthesis on the y side.

Answer 1

y₁=mx+b (to be calculated) & y₂ = 5x+12 (given)

Also given y₁ should be // to y₂ & y₁ passes through A(1,6)

1) since y₁ & y₂ are //, then they have the same slope that is 5, so we can write

y₁ = 5x +b. Now let's calculate b

We know that y₁ passes through A(1,6), In the equation

y₁= 5x+b, replace x & y by their respective value 6=5(1) + b ==> b=1 and the equation becomes y₁ = 5x + 1